What is a polynomial function in standard form with the zeros 1,2,-2 and -3
A polynomial function in standard form with the zeros 1, 2, -2, and -3 can be found by using the zero-factor property. Since the zeros are 1, 2, -2, and -3, the factors of the polynomial function are (x - 1)(x - 2)(x + 2)(x + 3).
Multiplying these factors together, we get:
(x - 1)(x - 2)(x + 2)(x + 3) = (x^2 - 3x + 2)(x^2 + 5x + 6) = x^4 + 2x^3 - 7x^2 - 16x + 12
Therefore, the polynomial function in standard form is:
f(x) = x^4 + 2x^3 - 7x^2 - 16x + 12